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3121412340 = 22351923119047
BaseRepresentation
bin1011101000001100…
…1111100011110100
322001112111011202110
42322003033203310
522343040143330
61233422411020
7140231365344
oct27203174364
98045434673
103121412340
111361a57322
12731430a70
133a98b4267
142187acd24
15134077db0
hexba0cf8f4

3121412340 has 96 divisors (see below), whose sum is σ = 9600030720. Its totient is φ = 754275456.

The previous prime is 3121412339. The next prime is 3121412341. The reversal of 3121412340 is 432141213.

It is an interprime number because it is at equal distance from previous prime (3121412339) and next prime (3121412341).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121412341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33304 + ... + 85743.

It is an arithmetic number, because the mean of its divisors is an integer number (100000320).

Almost surely, 23121412340 is an apocalyptic number.

3121412340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3121412340 is an abundant number, since it is smaller than the sum of its proper divisors (6478618380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3121412340 is a wasteful number, since it uses less digits than its factorization.

3121412340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119101 (or 119099 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3121412340 is about 55869.6012156879. The cubic root of 3121412340 is about 1461.4491678510.

Adding to 3121412340 its reverse (432141213), we get a palindrome (3553553553).

The spelling of 3121412340 in words is "three billion, one hundred twenty-one million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 30 38 46 57 60 69 76 92 95 114 115 138 190 228 230 276 285 345 380 437 460 570 690 874 1140 1311 1380 1748 2185 2622 4370 5244 6555 8740 13110 26220 119047 238094 357141 476188 595235 714282 1190470 1428564 1785705 2261893 2380940 2738081 3571410 4523786 5476162 6785679 7142820 8214243 9047572 10952324 11309465 13571358 13690405 16428486 22618930 27142716 27380810 32856972 33928395 41071215 45237860 52023539 54761620 67856790 82142430 104047078 135713580 156070617 164284860 208094156 260117695 312141234 520235390 624282468 780353085 1040470780 1560706170 3121412340